Ergodicity breaking transition in zero dimensions
arXiv:2203.08844 · doi:10.1103/PhysRevLett.129.060602
Abstract
It is of great current interest to establish toy models of ergodicity breaking transitions in quantum many-body systems. Here we study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit upon tuning the coupling between an ergodic quantum dot and distant particles with spin-1/2. The model is effectively zero dimensional, however, a variant of the model was proposed by De Roeck and Huveneers to describe the avalanche mechanism of ergodicity breaking transition in one-dimensional disordered spin chains. We show that exact numerical results based on the spectral form factor calculation accurately agree with theoretical predictions, and hence unambiguously confirm existence of the ergodicity breaking transition in this model. We benchmark specific properties that represent hallmarks of the ergodicity breaking transition in finite systems.
References in corpus (23)
- Thermalization and its mechanism for generic isolated quantum systems
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Experimental Observation of a Generalized Gibbs Ensemble
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Avalanches and many-body resonances in many-body localized systems
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Dynamical obstruction to localization in a disordered spin chain
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- How a small quantum bath can thermalize long localized chains
- Challenges to observation of many-body localization
- Absence of true localization in many-body localized phases
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Thermalization and light cones in a model with weak integrability breaking
- Universality in the onset of quantum chaos in many-body systems
- Is there slow particle transport in the MBL phase?
- Resonance-induced growth of number entropy in strongly disordered systems
- Incoherent transport induced by a single static impurity in a Heisenberg chain
- Phenomenology of spectral functions in disordered spin chains at infinite temperature
- Constraints induced delocalization
- Detecting delocalization-localization transitions from full density distributions
- Signatures of a critical point in the many-body localization transition
- Relaxation at different length-scales in models of many-body localization